A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is also equivalent to a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and thus to a translation plane, and more. These geometric objects are tied together by the so-called Fundamental Theorem of q-Clan Geometry. The book gives a complete proof of this theorem, followed by a detailed study of the known examples. The collineation groups of the associated generalized quadrangles and the stabilizers of their associated ovals are worked out completely.
| ISBN-13: | 9783764385071 |
| ISBN-10: | 3764385073 |
| Publisher: | Birkhäuser Basel |
| Publication date: | 2007-08-16 |
| Edition description: | 2007 |
| Pages: | 166 |
| Product dimensions: | Height: 9.45 Inches, Length: 6.69 Inches, Weight: 1.00089866948 Pounds, Width: 0.41 Inches |
| Author: | Ilaria Cardinali, Stanley E. Payne |
| Language: | en |
| Binding: | Paperback |